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This paper is devoted to the problem of designing functional observers for linear time-invariant (LTI) descriptor systems. The observers are realized by using state-space systems governed by ordinary differential equations (ODEs). Available…

最优化与控制 · 数学 2024-05-14 Juhi Jaiswal , Thomas Berger , Nutan Kumar Tomar

In this paper, we design an output-feedback controller to stabilize n +m hetero-directional transport partial differential equations (PDEs) coupled on both domain boundaries to ordinary differential equations (ODEs). This class of systems…

偏微分方程分析 · 数学 2024-06-17 Jean Auriol , Federico Bribiesca Argomedo

The problem of unknown input observer design is considered for coupled PDE/ODE systems subject to incremental sector bounded nonlinearities and unknown boundary inputs. Assuming available measurements at the boundary of the distributed…

最优化与控制 · 数学 2022-12-01 Andrea Cristofaro , Francesco Ferrante

This paper provides a comprehensive framework for designing functional observers for linear systems subject to delayed output measurements. Moving beyond traditional methodologies, the proposed observer generates an estimate $\hat{z}(t)$…

系统与控制 · 电气工程与系统科学 2026-04-21 H. Trinh , P. T. Nam , T. N. Nguyen

This paper introduces a novel stabilization control strategy for linear time-invariant systems affected by known time-varying measurement delays and matched unknown nonlinear disturbances, which may encompass actuator faults. It is…

最优化与控制 · 数学 2025-07-30 Hardy Pinto , Tiago Roux Oliveira , Liu Hsu

In this paper we introduce an observer design framework for ordinary differential equation (ODE) systems based on various types of existing or even novel one-parameter symmetries (exact, asymptotic and variational) ending up with a certain…

系统与控制 · 电气工程与系统科学 2025-04-02 Stefano Battilotti

We consider the problem of estimating the state and unknown input for a large class of nonlinear systems subject to unknown exogenous inputs. The exogenous inputs themselves are modeled as being generated by a nonlinear system subject to…

系统与控制 · 计算机科学 2019-02-25 Martin Corless , Ankush Chakrabarty

Predictor feedback designs are critical for delay-compensating controllers in nonlinear systems. However, these designs are limited in practical applications as predictors cannot be directly implemented, but require numerical approximation…

系统与控制 · 电气工程与系统科学 2025-06-03 Luke Bhan , Peijia Qin , Miroslav Krstic , Yuanyuan Shi

This paper investigates the output feedback boundary control of reaction-diffusion equations with either distributed or boundary measurement by means of a finite-dimensional observer. A constructive method dealing with the design of…

最优化与控制 · 数学 2021-08-25 Hugo Lhachemi , Christophe Prieur

This paper investigates the output feedback stabilization of parabolic equation with Lipschitz nonlinearity over general multidimensional domain using spectral geometry theories. First, a novel nonlinear observer is designed, and the error…

最优化与控制 · 数学 2026-01-21 Kai Liu , Hua-Cheng Zhou , Zhong-Jie Han , Xiangyang Peng

We develop a predictor-feedback control design for multi-input nonlinear systems with distinct input delays, of arbitrary length, in each individual input channel. Due to the fact that different input signals reach the plant at different…

最优化与控制 · 数学 2015-08-25 Nikolaos Bekiaris-Liberis , Miroslav Krstic

This work concerns the internal stabilization of underactuated linear systems of $m$ heat equations in cascade, where the control is placed internally in the first equation only and the diffusion coefficients are distinct. Combining the…

最优化与控制 · 数学 2022-07-21 Constantinos Kitsos , Emilia Fridman

This paper discusses the in-domain feedback stabilization of reaction-diffusion PDEs with Robin boundary conditions in the presence of an uncertain time- and spatially-varying delay in the distributed actuation. The proposed control design…

最优化与控制 · 数学 2021-08-18 Hugo Lhachemi , Christophe Prieur , Robert Shorten

This paper proposes a novel distributed interval observer design for linear time-invariant (LTI) discrete-time systems subject to bounded disturbances. In the proposed observer algorithm, each agent in a networked group exchanges…

系统与控制 · 电气工程与系统科学 2022-09-07 Mohammad Khajenejad , Scott Brown , Sonia Martinez

In this paper, we investigate the estimator-based output feedback control problem of multi-delay systems. This work is an extension of recently developed operator-value LMI framework for infinite-dimensional time-delay systems. Based on the…

最优化与控制 · 数学 2019-09-16 Shuangshuang Wu , Matthew M. Peet , Changchun Hua

Infinite-dimensional control systems with outputs are considered in the Hamiltonian formulation with generalized coordinates. An explicit scheme for constructing a dynamic observer for this class of systems is proposed with arbitrary gain…

最优化与控制 · 数学 2023-08-16 Alexander Zuyev , Julia Kalosha

Observer design for linear systems with aperiodic sampled-data measurements is addressed. To solve this problem, a novel hybrid observer is designed. The main peculiarity of the proposed observer consists of the use two output injection…

系统与控制 · 电气工程与系统科学 2021-12-23 Francesco Ferrante , Alexandre Seuret

A fixed-order set-valued observer is presented for linear parameter-varying systems with bounded-norm noise and under completely unknown attack signals, which simultaneously finds bounded sets of states and unknown inputs that include the…

系统与控制 · 电气工程与系统科学 2020-01-22 Mohammad Khajenejad , Sze Zheng Yong

The problem of state estimation for a system of coupled hyperbolic PDEs and ODEs with Lipschitz nonlinearities with boundary measurements is considered. An infinite dimensional observer with a linear boundary injection term is used to solve…

系统与控制 · 电气工程与系统科学 2021-01-19 Francesco Ferrante , Andrea Cristofaro

An exponential Luenberger dynamical observer is proposed to estimate the state of a general class of nonautonomous semilinear parabolic equations. The result can be applied to the case where the output is given by state measurements taken…

偏微分方程分析 · 数学 2022-12-06 Sérgio S. Rodrigues , Dagmawi A. Seifu